Geophysical Fluid Dynamics pp 57-178 | Cite as

# Inviscid Shallow-Water Theory

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## Abstract

In this chapter we take up the study of the dynamics of a shallow, rotating layer of homogeneous incompressible and inviscid fluid. There are two purposes to our consideration of this physical system. It is first of all simple enough so that the issues raised by the problem of geostrophic degeneracy can be dealt with directly without the need to simultaneously treat the complexities of the thermodynamics of a density-stratified fluid. The first goal of the present chapter is to illustrate how the geostrophic approximation can be systematically exploited to produce a deterministic dynamical framework adequate for the calculation of motions of large time and space scales. Furthermore, the method of analysis to be presented also can be generalized to the study of thermodynamically active fluids. The key technique of the analysis is the formulation of a *systematic* approximation scheme in which the geostrophic approximation is merely the first step.

## Keywords

Wave Packet Group Velocity Rossby Wave Potential Vorticity Phase Speed## Preview

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## Bibliography

## Section 3.1

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## Section 3.22

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## Section 3.25

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